Two-Point Boundary Value Problems for Essentially Singular Second-Order Linear Differential Equations
- Authors: Kiguradze I.T.1
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Affiliations:
- Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University
- Issue: Vol 55, No 5 (2019)
- Pages: 591-608
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155010
- DOI: https://doi.org/10.1134/S0012266119050021
- ID: 155010
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Abstract
We establish tests for the unique solvability of two-point boundary value problems for second-order linear ordinary differential equations whose coefficients have singularities of arbitrary order at the endpoints of the interval. The tests are, in a sense, sharp.
About the authors
I. T. Kiguradze
Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University
Author for correspondence.
Email: ivane.kiguradze@tsu.ge
Georgia, Tbilisi, 0177
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